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2 years ago

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

2 answers:

6 0

Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
 x = 3 and x = -1/4
Thus, the one of the answer to this item is the third choice, x = 3.

bogdanovich [222]2 years ago

6 0

Answer:

b and c

Step-by-step explanation:

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An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an

Alika [10]

Check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

$\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6$

6 0

2 years ago

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At the time of her grandson's birth, a grandmother deposits $ 2000 in an account that pays 3.5 % compounded monthly. What will

11Alexandr11 [23.1K]

At the time of her grandson's birth, a grandmother deposits $12,000.00 in an account that pays 2% compound monthly. What will be that value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawls are made during the period.
---
A(t) = P(1+(r/n))^(nt)
---
A(21) = 12000(1+(0.02/12))^(12*21)
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A(21) = 12000(1.5214)
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A(21) = #18,257.15

7 0

2 years ago

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Jack was so frustrated with his slow laptop that he threw it out of his second story window. The height, h, of the laptop at tim

jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> the height of the laptop in units

we have

$h(t)=-16t^{2}+28t+17$

we know that

When the laptop hits the ground, the value of h(t) is equal to zero

For h(t)=0

$-16t^{2}+28t+17=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+28t+17=0$

$a=-16\\b=28\\c=17$

substitute in the formula

$x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}$

$x=\frac{-28(+/-)\sqrt{1,872}} {-32}$

$x=\frac{-28(+/-)12\sqrt{13}} {-32}$

$x_1=\frac{-28(+)12\sqrt{13}} {-32}=-0.477$

$x_1=\frac{28(-)12\sqrt{13}} {32}=-0.477$ ---> is not a solution

$x_2=\frac{-28(-)12\sqrt{13}} {-32}$

$x_2=\frac{28(+)12\sqrt{13}} {32}=2.23\ sec$

therefore

The domain of the function is the interval [0,2.23]

All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

$0\ sec \leq x \leq 2.23\ sec$

5 0

2 years ago

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Andreyy89

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250 - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

7 0

2 years ago

Solve the inequality. c – 5 ≤ 6

Vilka [71]

Hello There!

Follow through:
c - 5 $\leq$ 6
Add 5 to both sides:
c - 5 + 5 ≤ 6 + 5
Simplify:
c ≤ 11

C is smaller than or equal to 11.

Hope This Helps You!
Good Luck :)

- Hannah ❤

3 0

2 years ago

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